JOURNAL ARTICLE

Parametrized predictor–corrector method for initial value problems with classical and Caputo–Fabrizio derivatives.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2026, v. 23, n. 1. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Atangana, Abdon; Araz, Seda İğret 3 of 3

Abstract

Ordinary nonlinear differential equations with classical and fractional derivatives are used to simulate several real-world problems. Nonetheless, numerical approaches are used to acquire their solutions. While various have been proposed, they are susceptible to both disadvantages and advantages. In this paper, we propose a more accurate numerical system for solving nonlinear differential equations with classical and Caputo–Fabrizio derivatives by combining two concepts: the parametrized method and the predictor–corrector method. We gave theoretical analyses to demonstrate the method's correctness, as well as several illustrated examples for both scenarios. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2026/01, Vol. 23, Issue 1, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2026
  • ISSN:0219-8878
  • DOI:10.1142/S0219887824400309
  • Accession Number:190388062
  • Copyright Statement:Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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